A) \[~{{60}^{o}}\]
B) \[{{15}^{o}}\]
C) \[~{{30}^{o}}\]
D) \[~{{45}^{o}}\]
Correct Answer: A
Solution :
Equation of lines \[{{x}^{2}}+4xy+{{y}^{2}}=0,\]the standard equation for the pair of is \[a{{x}^{2}}+2hxy+by=0,\]comparing the equation, \[a=1,h=2,b=1\] \[\Rightarrow \] \[\tan \theta =\frac{2\sqrt{{{h}^{2}}-ab}}{a+b}\] \[\tan \theta =\frac{2\sqrt{4-1}}{2}\]\[\Rightarrow \]\[\tan \theta =\sqrt{3}\Rightarrow \theta ={{60}^{o}}\]
You need to login to perform this action.
You will be redirected in
3 sec
